In a lottery daily game, a player picks four numbers from 0 to 9 (without repetition). How many different choices does the player have a) If order matters   ?  b) If order does not matter   ?

Q: How many different ways can a race with 6 runners be completed? (Assume there is no tie.) Your…

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Q: An ice cream store sells 25 flavors of ice cream. Determine the number of possible 7-dip sundaes.…

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Q: 20 people enter a writing contest. In how many ways can the 1stprize, 2ndprize, and 3rdprize be…

A: According to the given statement

Q: In a survey of 426 people, a pet food manufacturer found that 92 owned a dog but not a cat, 103…

A: Determine how many owned both a cat and dog. From the information, given that   Number of people…

Q: How many different flushes are possible in a regular deck of card?

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Q: The Liberty County Poetry Society awarded 3 different prizes 1 each for 1st, 2nd, and 3rd place…

A: The first prize can be given in 56 ways Second prize in 55 ways Third prize in 54 ways

Q: b) A drawer contains 14 white and 14 black socks, all unmatched. Ali is in a rush to school and has…

A: The pigeonhole principle is the base of counting along with the fundamental theorem of counting.…

Q: Joe has 6 favorite baseball teams, and he puts their flags on his flagpole in random order. How many…

A: Solution

Q: There are 6 people lining up to get on a bus. If 2 specific persons, among 6, refuse to follow each…

A: The problem is solved using the concept of permutation and combination. Total people = 6

Q: A person is playing a card game in which they receive 3 cards from a dealer. If the order doesn't…

A: The answer is given as follows :

Q: A pet store surveyed 178 people to see how many own a bird and how many own a cat. The Venn diagram…

A: Given data, No of bird owners =37 No of cat owners=28 Bird & cat owners =39 No bird or cat…

Q: In college, 200 students are randomly selected, 140 like tea, 120 like coffee and 80 like both tea…

A: Total number of students are randomly selected = 200  number of students like tea = 140 number of…

Q: There are 58 runners in a race. How many ways can the runners finish first, second, and third? There…

A: From the given information, total number of runners = 58. The objective is to find the number of…

Q: How many ways are there to deal a hand of 4 cards if you dont care about the order of cards in your…

A: In a standard deck of cards, there are total 52 cards.

Q: In how many ways can a hand of 6 diamonds be chosen from an ordinary deck? A hand of 6 diamonds can…

A:

Q: How many different hands of 5 cards from the deck of 52 are there? 2) An office building contains 27…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: There are 12 people at a party. If they all shake hands, how many different hand-shakes are there?…

A:

Q: How many different ways can a race with 6 runners be completed? (Assume there is no tie.) Your…

A:

Q: how many five card poker hands consist of a four of a kind?

A: In a standard deck of cards, there are 52 cards in total out of which there are 13 different…

Q: Aling Puring needs to put the harvested sitaw, saging, mais, and macapuno in a basket. However, the…

A: Given : Aling Puring needs to put the harvested sitaw, saging, mais, and macapuno in a basket Total…

Q: Electricity, when testing for current in a cable with five color-coded wires, the author used a…

A: Total number of color-coded wire(n)=5 among which 2 wires are chosen (r)=2

Q: A Las Vegas couple is remodeling their home. They would like to paint the interior of their home…

A: Total color available  in shop =13 i.e total outcome=13 We know that Crn=n!r!n-r! Also…

Q: A theater was designed to have 24 seats in the first row, 30 seats on the second row, 36 seats on…

A:

Q: Using a standard deck of 52​ cards, how many 4​-card hands contain all heart

A: using stanadard deck of 52 cards ,total outcomes:n=52 cards we have to find out  that 4 card hands…

Q: In a survey of 426 people, a pet food manufacturer found that 143 owned a dog but not a cat, 59…

A:

Q: A child wants to pick 5 balloons from a set of 6 blue and 5 red balloons. Number of ways for picking…

A: Number of blue balloons = 6 Number of red balloons = 5

Q: In a survey of 104 pet owners, 19 said they own a dog, and 52 said they own a cat. 15 said they own…

A: GivenTotal no.of pet owners=104No.of owners own a dog=19No.of owners own a cat=52No.of owners bot a…

Q: A card game uses a special deck where each card has a number and a color. The numbers range from 1…

A: There are numbers range from 1 to 12. So total of 12 numbers. The colors are red, orange, yellow,…

Q: In how many ways can 5 sets of numbers be picked from 50 numbers in a lottery?

A: From the provided information, Total numbers in a lottery = 50 The required number of ways of…

Q: A college has 10 basketball players. A 5 member's team and a captain will be selected out of these…

A: Given,total no.of basketball players=10

Q: Five cards are selected out of 52. In how many different ways can this be done if: they contain the…

A: total cards are 52 cards.  they are 13 clubs , 13 spades , 13 hearts ,13 diamonds clubs and spades…

Q: A new-custom made sweater is made by choosing the color, the material, whether or not the sweater…

A: It is given that there are 7 colors available and 3 type of materials available.

Q: In a certain lottery the player chooses 5 numbers from the numbers 1 through 38. In how many ways…

A: The number of numbers chosen by player is 5.

Q: Use permutations to solve. The student activity club at the college has 39 members. In how many…

A:

Q: A restaurant offers a $12 dinner special that has 4 choices for an appetizer, 11 choices for an…

A: given data  4 appetizers  11 entree 3 dessert   we have to select an appetizer,entree and dessert…